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larisa86 [58]
3 years ago
12

a high school principal wants to test the overall mood in his school. he stops the first fifteen students who come into the offi

ce one morning and asks them to rate their high school experience on a scale of 1 (worst) to 10 (best). the average response is 3.2, and the principal concluded that his school's mood is poor. the principal's conclusion
Mathematics
1 answer:
torisob [31]3 years ago
7 0
Can you explain.... Is there a question oooorrr no
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A computer programming team has 13 members. a. How many ways can a group of seven be chosen to work on a project? b. Suppose sev
Julli [10]

Answer:

1716 ;

700 ;

1715 ;

658 ;

1254 ;

792

Step-by-step explanation:

Given that :

Number of members (n) = 13

a. How many ways can a group of seven be chosen to work on a project?

13C7:

Recall :

nCr = n! ÷ (n-r)! r!

13C7 = 13! ÷ (13 - 7)!7!

= 13! ÷ 6! 7!

(13*12*11*10*9*8*7!) ÷ 7! (6*5*4*3*2*1)

1235520 / 720

= 1716

b. Suppose seven team members are women and six are men.

Men = 6 ; women = 7

(i) How many groups of seven can be chosen that contain four women and three men?

(7C4) * (6C3)

Using calculator :

7C4 = 35

6C3 = 20

(35 * 20) = 700

(ii) How many groups of seven can be chosen that contain at least one man?

13C7 - 7C7

7C7 = only women

13C7 = 1716

7C7 = 1

1716 - 1 = 1715

(iii) How many groups of seven can be chosen that contain at most three women?

(6C4 * 7C3) + (6C5 * 7C2) + (6C6 * 7C1)

Using calculator :

(15 * 35) + (6 * 21) + (1 * 7)

525 + 126 + 7

= 658

c. Suppose two team members refuse to work together on projects. How many groups of seven can be chosen to work on a project?

(First in second out) + (second in first out) + (both out)

13 - 2 = 11

11C6 + 11C6 + 11C7

Using calculator :

462 + 462 + 330

= 1254

d. Suppose two team members insist on either working together or not at all on projects. How many groups of seven can be chosen to work on a project?

Number of ways with both in the group = 11C5

Number of ways with both out of the group = 11C7

11C5 + 11C7

462 + 330

= 792

8 0
2 years ago
Once again... we almost finish, solve for x
algol13

Answer:

x = 34

Step-by-step explanation:

Angles are supplementary:

x + 7 + 4x + 3 = 180

5x + 10 = 180

5x = 170

x = 34

3 0
2 years ago
Circle U is shown. Chords R T and Q S intersect at a point forming 4 angles. The top left angle is angle 1, and the top right an
Dima020 [189]

Based on the calculations, the measures of angles 1 and 2 are 50° and 135° respectively.

<h3>What is the theorem of intersecting chord?</h3>

The theorem of intersecting chord states that when two (2) chords intersect inside a circle, the measure of the angle formed by these chords is equal to one-half (½) of the sum of the two (2) arcs it intercepts.

By applying the theorem of intersecting chord to circle U shown in the image attached below, we can infer and logically deduce that angle 1 will be given by this formula:

m∠1 = ½(53 + 47)

m∠1 = ½(100)

m∠1 = 50°.

Since angles 1 and 2 are linear pair, they are supplementary angles. Thus, we have:

m∠1 + m∠2 = 180°

m∠2 = 180 - m∠1

m∠2 = 180 - 50

m∠2 = 130°.

Read more on intersecting chords here: brainly.com/question/27251228

#SPJ1

6 0
1 year ago
Read 2 more answers
What is 3 2/5 / 6 plz help!!!
Illusion [34]

Answer:

The answer is 0.56 the 6 is repeating

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
I need help with this question please
maksim [4K]

Answer:The correct answer is A

Step-by-step explanation: just trust me

6 0
3 years ago
Read 2 more answers
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